Search a number
-
+
38307045216 = 25311314128541
BaseRepresentation
bin100011101011010001…
…110001111101100000
310122212200110112010110
4203223101301331200
51111423100421331
625333100531320
72524166340366
oct435321617540
9118780415113
1038307045216
1115278368060
127510b50b40
1337c640197b
141bd57db636
15ee3075946
hex8eb471f60

38307045216 has 192 divisors, whose sum is σ = 116001994752. Its totient is φ = 10959360000.

The previous prime is 38307045193. The next prime is 38307045233. The reversal of 38307045216 is 61254070383.

38307045216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1327906 + ... + 1356446.

It is an arithmetic number, because the mean of its divisors is an integer number (604177056).

Almost surely, 238307045216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38307045216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58000997376).

38307045216 is an abundant number, since it is smaller than the sum of its proper divisors (77694949536).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38307045216 is a wasteful number, since it uses less digits than its factorization.

38307045216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28637 (or 28629 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 38307045216 in words is "thirty-eight billion, three hundred seven million, forty-five thousand, two hundred sixteen".